Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D8×D151 | C2 | semidirect |
| 2. C2×#18012747 | C2 | semidirect |
| 3. #23752778 | C2 | semidirect |
| 4. #23752466 | C2 | semidirect |
| 5. #23752465 | C2 | semidirect |
| 6. #23752462 | C2 | semidirect |
| 7. #23752447 | C2 | semidirect |
| 8. #23752446 | C2 | semidirect |
| 9. #23752247 | C2 | semidirect |
| 10. #23752215 | C2 | semidirect |
| 11. #469×C151 | C2 | semidirect |
| 19. C2×#14558987 | C22 | semidirect |
| 20. C22×C151⋊C8 | C22 | semidirect |
| 22. C2×C8×D151 | C22 | semidirect |
| 25. #18012714 | C22 | semidirect |
| 26. #18012713 | C22 | semidirect |
| 27. #18012710 | C22 | semidirect |
| 31. #18012672 | C22 | semidirect |
| 32. #18012671 | C22 | semidirect |
| 33. #18012661 | C22 | semidirect |
| 34. #18012660 | C22 | semidirect |
| 35. #18012659 | C22 | semidirect |
| 37. C2×M16×C151 | C22 | semidirect |
| 38. #121×C151 | C22 | semidirect |
| 39. #106×C151 | C22 | semidirect |
| 40. #102×C151 | C22 | semidirect |
| 65. C8×D151 | D4 | semidirect |
| 146. C151 | #3058 | semidirect |
| 154. #469 | D151 | semidirect |
| 168. C2×M16 | C2×D151 | semidirect |
| 177. #121 | C2×D151 | semidirect |
| 183. #106 | C2×D151 | semidirect |
| 187. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D151 | 2 |
| C2×#18012747 | 2 |
| #23752778 | 2 |
| #23752466 | 2 |
| #23752465 | 2 |
| #23752462 | 2 |
| #23752447 | 2 |
| #23752446 | 2 |
| #23752247 | 2 |
| #23752215 | 2 |
| #469×C151 | 2 |
| #3058 | 151 |